document.write( "Question 416906: I need help solving this showing the steps? x+4=4sqrt(x+1) \n" ); document.write( "
Algebra.Com's Answer #291985 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
\"+x%2B4=4sqrt%28x%2B1%29\"...raise both sides to the power of two\r
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\n" ); document.write( "\n" ); document.write( "\"+%28x%2B4%29%5E2=%284sqrt%28x%2B1%29%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"+x%5E2%2B8x%2B16=16sqrt%28x%2B1%29%5E2\"...cancel sqrt and power of two\r
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\n" ); document.write( "\n" ); document.write( "\"+x%5E2%2B8x%2B16=16%28x%2B1%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"+x%5E2%2B8x%2B16=16x%2B16\"\r
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\n" ); document.write( "\n" ); document.write( "\"+x%5E2%2B8x-16x%2B16-16=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"+x%5E2-8x=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"+x%28x-8%29=0\"..a product is equal to zero if any of multiplicands is equal to zero\r
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\n" ); document.write( "\n" ); document.write( "\"+x=0\".......first root\r
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\n" ); document.write( "\n" ); document.write( "\"+x-8=0\"........\"+x=8\"..second root\r
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\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"+x%2B4=4sqrt%28x%2B1%29\".....plug in \"+x=0\"\r
\n" ); document.write( "\n" ); document.write( "\"+0%2B4=4sqrt%280%2B1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"+4=4sqrt%281%29\"\r
\n" ); document.write( "\n" ); document.write( "\"+4=4%2A1\"\r
\n" ); document.write( "\n" ); document.write( "\"4=4\"\r
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\n" ); document.write( "\n" ); document.write( "\"+x%2B4=4sqrt%28x%2B1%29\".....plug in \"+x=8\"\r
\n" ); document.write( "\n" ); document.write( "\"+8%2B4=4sqrt%288%2B1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"+12=4sqrt%289%29\"\r
\n" ); document.write( "\n" ); document.write( "\"+12=4%2A3\"\r
\n" ); document.write( "\n" ); document.write( "\"12=12\"\r
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